A slender rod, 0.240 m long, rotates with an angular speed of 8.80 rad/s about an axis through one end and perpendicular to the rod. The plane of rotation of the rod is perpendicular to a uniform magnetic field with a magnitude of 0.650 T. (a) What is the induced emf in the rod? (b) What is the potential difference between its ends? (c) Suppose instead the rod rotates at 8.80 rad/s about an axis through its center and perpendicular to the rod. In this case, what is the potential difference between the ends of the rod? Between the center of the rod and one end?

In Fig. we saw earlier a conducting rod of length $L=30.0 \mathrm{~cm}$ moves in a magnetic field $\overrightarrow{\boldsymbol{B}}$ of magnitude $0.450 \mathrm{~T}$ directed into the plane of the figure. The rod moves with speed $v=5.00 \mathrm{~m} / \mathrm{s}$ in the direction shown.What is the potential difference between the ends of the rod?

A rotating rod that is 15.3 cm long is spun with its axis through one end of the rod so that the other end of the rod has a speed of 2010 m/s (4500 mph). What is the centripetal acceleration of the end of the rod?

The inclined plate moves to the left with a constant velocity $\mathbf{v}$. Determine the angular velocity and angular acceleration of the slender rod of length $l$. The rod pivots about the step at $C$ as its slides on the plate.

The long, straight wire shown in Fig. we saw earlier carries constant current $l$. A metal bar with length $L$ is moving at constant velocity $\overrightarrow{\boldsymbol{v}}$, as shown in the figure. Point $a$ is a distance $d$ from the wire. If the bar is replaced by a rectangular wire loop of resistance $R$, what is the magnitude of the current induced in the loop?

The long, straight wire shown in Fig. we saw earlier carries constant current $l$. A metal bar with length $L$ is moving at constant velocity $\overrightarrow{\boldsymbol{v}}$, as shown in the figure. Point $a$ is a distance $d$ from the wire. Calculate the emf induced in the bar.

Solve each inequality using the method indicated. $|x-2|+1 \leq 5$ (graphically)

A very long, cylindrical wire of radius $R$ carries a current $I_0$ uniformly distributed across the cross section of the wire. Calculate the magnetic flux through a rectangle that has one side of length $W$ running down the center of the wire and another side of length $R$, as shown in Fig. we saw earlier.

The long, straight wire shown in Fig. we saw earlier carries constant current $l$. A metal bar with length $L$ is moving at constant velocity $\overrightarrow{\boldsymbol{v}}$, as shown in the figure. Point $a$ is a distance $d$ from the wire. Which point, $a$ or $b$, is at higher potential?

In Fig. we saw earlier a conducting rod of length $L=30.0 \mathrm{~cm}$ moves in a magnetic field $\overrightarrow{\boldsymbol{B}}$ of magnitude $0.450 \mathrm{~T}$ directed into the plane of the figure. The rod moves with speed $v=5.00 \mathrm{~m} / \mathrm{s}$ in the direction shown.When the charges in the rod are in equilibrium, what are the magnitude and direction of the electric field within the rod?

The process of nuclear reprogramming a. is a normal part of pattern formation. b. reverses the changes that occur during differentiation. c. requires the introduction of new DNA. d. is not possible with mammalian cells.

In Fig. we saw earlier a conducting rod of length $L=30.0 \mathrm{~cm}$ moves in a magnetic field $\overrightarrow{\boldsymbol{B}}$ of magnitude $0.450 \mathrm{~T}$ directed into the plane of the figure. The rod moves with speed $v=5.00 \mathrm{~m} / \mathrm{s}$ in the direction shown.When the charges in the rod are in equilibrium, which point, $a$ or $b$, has an excess of positive charge?

A bar of length L = 0.36 m is free to slide without friction on horizontal rails. A uniform magnetic field B = 2.4 T is directed into the plane of the figure. At one end of the rails there is a battery with emf $\varepsilon=12 \mathrm{V}$ and a switch S. The bar has mass 0.90 kg and resistance $5.0 \Omega$; ignore all other resistance in the circuit. The switch is closed at time t = 0. (a) Sketch the bar’s speed as a function of time. (b) Just after the switch is closed, what is the acceleration of the bar? (c) What is the acceleration of the bar when its speed is 2.0 m/s? (d) What is the bar’s terminal speed?

A dielectric of permittivity $3.5 \times 10^{-11} \mathrm{F} / \mathrm{m}$ completely fills the volume between two capacitor plates. For t > 0 the electric flux through the dielectric is $\left(8.0 \times 10^{3} \vee \cdot \mathrm{m} / \mathrm{s}^{3}\right) t^{3}$. The dielectric is ideal and nonmagnetic; the conduction current in the dielectric is zero. At what time does the displacement current in the dielectric equal $21 \mu \mathrm{A}$?